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Finding the Fourth Proportional to 227,969, 314,597.22 and 127,376.36

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Solution

The fourth proportional to 227,969, 314,597.22 and 127,376.36 is: 175,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,969 : 314,597.22 = 127,376.36 : x
  2. Step 2: Convert to fraction form
    227,969/314,597.22 = 127,376.36/x
  3. Step 3: Cross multiply
    227,969x = 314,597.22 × 127,376.36
  4. Step 4: Simplify right side
    227,969x = 40,072,248,749.72
  5. Step 5: Solve for x
    x = 40,072,248,749.72/227,969
  6. Step 6: Final answer
    x = 175,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.